Hi I need to find the derivative of .I found it as:

But the answer by the book is

Help.

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- June 27th 2013, 12:54 AMhacker804Simple derivative
Hi I need to find the derivative of .I found it as:

But the answer by the book is

Help. - June 27th 2013, 01:57 AMProve ItRe: Simple derivative
Your function is , which is a COMPOSITION of functions. So to differentiate this you will need to use the chain rule.

You have done the outer derivative correctly, but you have forgotten that you also need to find the inner derivative, which is . Multiply this with the result you got. - June 27th 2013, 02:13 AMhacker804Re: Simple derivative
Well I have not studied chain rule yet.thanks for the help.

- June 27th 2013, 09:37 AMhollywoodRe: Simple derivative
I'd be interested to know how to do this problem without the chain rule. Does anybody have any ideas?

- Hollywood - June 27th 2013, 10:44 AMHallsofIvyRe: Simple derivative
I can't see why you would want not to use the chain rule.

By the way, did you notice that your original function was while the function you tried to integrate was . Those are not at all the same thing! - June 27th 2013, 07:50 PMhollywoodRe: Simple derivative
He said he hadn't studied the chain rule yet, and I couldn't see a non-chain-rule solution. So I was curious.

I didn't notice the change in the function.

- Hollywood - June 28th 2013, 12:27 PMjohngRe: Simple derivative
Hi,

Since you haven't studied the chain rule yet, I assume you're just starting derivatives. So perhaps you want to find the derivative by definition? The attachment shows how to do this.

Attachment 28690